468738126 has 96 divisors (see below), whose sum is σ = 1081267200. Its totient is φ = 146577600.

The previous prime is 468738121. The next prime is 468738139. The reversal of 468738126 is 621837864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468738121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3104151 + ... + 3104301.

It is an arithmetic number, because the mean of its divisors is an integer number (11263200).

Almost surely, 2^468738126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468738126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540633600).

468738126 is an abundant number, since it is smaller than the sum of its proper divisors (612529074).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

468738126 is a wasteful number, since it uses less digits than its factorization.

468738126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 331 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 468738126 is about 21650.3608745905. The cubic root of 468738126 is about 776.8015672724.

It can be divided in two parts, 468738 and 126, that added together give a palindrome (468864).

The spelling of 468738126 in words is "four hundred sixty-eight million, seven hundred thirty-eight thousand, one hundred twenty-six".